1. The problem statement, all variables and given/known data I need to prove that a Fredholm equation of the second kind is functionally linear. I'm not sure what functional linearity is or if that's exactly what is being asked because it's not in my numerical analysis book and everytime i look on the internet I'm referred to linear algebra. Can someone get me on the right track as far as what i'm actually looking to prove? edit: I also need to solve a fredholm eqn of the second kind analytically. Hint: my result should contain a low order polynomial. it is y(x) = x + integral[0,1](x^2*t)y(t)dt every example i see is numerical integration. so i couldn't find any examples to work off of. should i do integration by parts on the integrand and then set up a differential equation involving Y(t) and y(x) and then solve with a characteristic polynomial?